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Rp560.000
Buku Numerical Methods for Engineers and Scientists 3 Ed 9781118554937
Rp560.000
- Kondisi: Baru
- Min. Pemesanan: 1 Buah
- Etalase: Mechanics and Engineering
Numerical Methods for Engineers and Scientists: An Introduction with Applications Using MATLAB 3rd Edition
by Amos Gilat (Author), Vish Subramaniam (Author)
Product details
Publisher : Wiley (2013)
Hardcover : 576 pages
ISBN-13 : 978-1118554937
Item Weight : 2.61 pounds
Dimensions : 8.2 x 1.1 x 10.1 inches
Contents:
1.1 Background 1
1.2 Representation of Numbers on a Computer 4
1.3 Errors in Numerical Solutions 10
1.4 Computers and Programming 15
1.5 Problems 18
Chapter 2 Mathematical Background 23
2.1 Background 23
2.2 Concepts from Pre-Calculus and Calculus 24
2.3 Vectors 28
2.4 Matrices and Linear Algebra 32
2.5 Ordinary Differential Equations (ODE) 41
2.6 Functions of Two or More Independent Variables 44
2.7 Taylor Series Expansion of Functions 47
2.8 Inner Product and Orthogonality 50
2.9 Problems 51
Chapter 3 Solving Nonlinear Equations 57
3.1 Background 57
3.2 Estimation of Errors in Numerical Solutions 59
3.3 Bisection Method 61
3.4 Regula Falsi Method 64
3.5 Newton’s Method 66
3.6 Secant Method 71
3.7 Fixed-Point Iteration Method 74
3.8 Use of MATLAB Built-In Functions for Solving Nonlinear Equations 77
3.9 Equations with Multiple Solutions 79
3.10 Systems of Nonlinear Equations 81
3.11 Problems 88
Chapter 4 Solving a System of Linear Equations 99
4.1 Background 99
4.2 Gauss Elimination Method 102
4.3 Gauss Elimination with Pivoting 112
4.4 Gauss–Jordan Elimination Method 115
4.5 LU Decomposition Method 118
4.6 Inverse of a Matrix 128
4.7 Iterative Methods 132
4.8 Use of MATLAB Built-In Functions for Solving a System of Linear Equations 136
4.9 Tridiagonal Systems of Equations 141
4.10 Error, Residual, Norms, and Condition Number 146
4.11 Ill-Conditioned Systems 151
4.12 Problems 155
Chapter 5 Eigenvalues and Eigenvectors 165
5.1 Background 165
5.2 The Characteristic Equation 167
5.3 The Basic Power Method 167
5.4 The Inverse Power Method 172
5.5 The Shifted Power Method 173
5.6 The
by Amos Gilat (Author), Vish Subramaniam (Author)
Product details
Publisher : Wiley (2013)
Hardcover : 576 pages
ISBN-13 : 978-1118554937
Item Weight : 2.61 pounds
Dimensions : 8.2 x 1.1 x 10.1 inches
Contents:
1.1 Background 1
1.2 Representation of Numbers on a Computer 4
1.3 Errors in Numerical Solutions 10
1.4 Computers and Programming 15
1.5 Problems 18
Chapter 2 Mathematical Background 23
2.1 Background 23
2.2 Concepts from Pre-Calculus and Calculus 24
2.3 Vectors 28
2.4 Matrices and Linear Algebra 32
2.5 Ordinary Differential Equations (ODE) 41
2.6 Functions of Two or More Independent Variables 44
2.7 Taylor Series Expansion of Functions 47
2.8 Inner Product and Orthogonality 50
2.9 Problems 51
Chapter 3 Solving Nonlinear Equations 57
3.1 Background 57
3.2 Estimation of Errors in Numerical Solutions 59
3.3 Bisection Method 61
3.4 Regula Falsi Method 64
3.5 Newton’s Method 66
3.6 Secant Method 71
3.7 Fixed-Point Iteration Method 74
3.8 Use of MATLAB Built-In Functions for Solving Nonlinear Equations 77
3.9 Equations with Multiple Solutions 79
3.10 Systems of Nonlinear Equations 81
3.11 Problems 88
Chapter 4 Solving a System of Linear Equations 99
4.1 Background 99
4.2 Gauss Elimination Method 102
4.3 Gauss Elimination with Pivoting 112
4.4 Gauss–Jordan Elimination Method 115
4.5 LU Decomposition Method 118
4.6 Inverse of a Matrix 128
4.7 Iterative Methods 132
4.8 Use of MATLAB Built-In Functions for Solving a System of Linear Equations 136
4.9 Tridiagonal Systems of Equations 141
4.10 Error, Residual, Norms, and Condition Number 146
4.11 Ill-Conditioned Systems 151
4.12 Problems 155
Chapter 5 Eigenvalues and Eigenvectors 165
5.1 Background 165
5.2 The Characteristic Equation 167
5.3 The Basic Power Method 167
5.4 The Inverse Power Method 172
5.5 The Shifted Power Method 173
5.6 The
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